4) Model the linear programming problem for the following scenario: (12 marks) *Do not attempt to solve. Write the objective function and all of the constraints. (12 min) Soundex produces two models of satellite radios. Model A requires 17 min of work on assembly line 1 and 13 min of work on assembly line II. Model B requires 20 min of work on assembly line 1 and 11 min of work on assembly line II. At most, 25 labor-hours of assembly time on the line 1 and 22 labor-hours of assembly time on the line Il are available each day. It is anticipated that Soundex will realize a profit of $62 on model A and $80 on model B. How many satellite radios of each model should be produced each day in order to maximize Soundex's profit